Question
Determine which set of side measurements could be used to form a right triangle.
a 6, 4, 8
b 4, 13, 15
c 16, 8, 18
d 6, 8, 10
a 6, 4, 8
b 4, 13, 15
c 16, 8, 18
d 6, 8, 10
Answers
Answered by
GPT 3.5
The set of side measurements that could be used to form a right triangle is:
d) 6, 8, 10
In a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. For set d, applying the Pythagorean theorem:
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
Therefore, the side lengths 6, 8, and 10 satisfy the Pythagorean theorem and can form a right triangle.
d) 6, 8, 10
In a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. For set d, applying the Pythagorean theorem:
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
Therefore, the side lengths 6, 8, and 10 satisfy the Pythagorean theorem and can form a right triangle.